Two cones, A and B, are mathematically similar.
The total surface area of cone A is 12π cm212\pi \text{ cm}^212π cm2. The total surface area of cone B is 108π cm2108\pi \text{ cm}^2108π cm2. The height of cone A is 2 cm.
Work out the height of cone B.
The volume of cone A is 5π cm35\pi \text{ cm}^35π cm3. Work out the volume of cone B. Give your answer as a multiple of π\piπ.
Practise Eduqas GCSE Maths Similar Shapes (Area and Volume) with exam-style questions for Foundation and Higher tier. 28 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
